wow if its says it comes with lcd it should its not diff lock , once one wheel has no traction the other wheel should under a load.
When an open differential does its job, it ensures the same amount of torque travels to each wheel. The amount of torque actually applied to the wheels is limited by only two factors: equipment and traction. On the equipment side of the equation, you need an engine capable of producing the power and gears up to the task of transferring it. As far as traction goes, the wheel needs to be able to grip the ground without slipping, which can occur on ice, wet roads or even on dry ones if you floor the vehicle at a standstill. But what if only one wheel is on ice or in the mud? You wind up with one wheel spinning freely over the slippery substance, while the other wheel is reduced to the same torque. In other words, you'll have one wheel spinning in the mud and one wheel not rotating at all.
Limited slip differentials use various mechanisms to allow normal differential action during turns, while also solving the problem of slippage. When one powered tire slips, the LSD transfers more torque to the nonslipping wheel. As you might imagine, this makes all the difference between escaping a ditch and having to get out and push.